A. Khare

activity

20032026

most citedComplete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity

30 citations · 416 across the 73 of their papers we have counts for

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Showing 2016 · math.RTShow all

2 papers · 2 filters

math.RT2016★ 5 cited

Faces of highest weight modules and the universal Weyl polyhedron

Gurbir Dhillon, Apoorva Khare

Let $V$ be a highest weight module over a Kac-Moody algebra $g$ , and let conv $V$ denote the convex hull of its weights. We determine the combinatorial isomorphism type…

math.RT2016★ 2 cited

The weights of simple modules in Category $O$ for Kac-Moody algebras

Gurbir Dhillon, Apoorva Khare

We give the first positive formulas for the weights of every simple highest weight module $L (λ)$ over an arbitrary Kac-Moody algebra. Under a mild condition on the highest weight,…

Faces of highest weight modules and the universal Weyl polyhedron

The weights of simple modules in Category O for Kac-Moody algebras

The weights of simple modules in Category $O$ for Kac-Moody algebras